What is the Greatest Common Factor of 66964 and 66972?

Greatest common factor (GCF) of 66964 and 66972 is 4.

GCF(66964,66972) = 4

We will now calculate the prime factors of 66964 and 66972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66964 and 66972.

How to find the GCF of 66964 and 66972?

We will first find the prime factorization of 66964 and 66972. After we will calculate the factors of 66964 and 66972 and find the biggest common factor number .

Step-1: Prime Factorization of 66964

Prime factors of 66964 are 2, 16741. Prime factorization of 66964 in exponential form is:

66964 = 2² × 16741¹

Step-2: Prime Factorization of 66972

Prime factors of 66972 are 2, 3, 5581. Prime factorization of 66972 in exponential form is:

66972 = 2² × 3¹ × 5581¹

Step-3: Factors of 66964

List of positive integer factors of 66964 that divides 66964 without a remainder.

1, 2, 4, 16741, 33482

Step-4: Factors of 66972

List of positive integer factors of 66972 that divides 66964 without a remainder.

1, 2, 3, 4, 6, 12, 5581, 11162, 16743, 22324, 33486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66964 and 66972. The biggest common factor number is the GCF number.
So the greatest common factor 66964 and 66972 is 4.

Also check out the Least Common Multiple of 66964 and 66972